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Unparticle Physics Mike Berger. September 6, 2007. Beta function. QED. 3-loop beta function for SU(3). fundamental representation. = 11 – (2/3)N F. = 1/2. = 102 – (38/3)N F. b 0 =0. b 1 =0. = 33/2 =16.5. = 153/19 = 8.05. 2-loop beta function has a zero (fixed point) if.
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Unparticle PhysicsMike Berger September 6, 2007
Beta function QED 3-loop beta function for SU(3) fundamental representation = 11 – (2/3)NF = 1/2 = 102 – (38/3)NF b0=0 b1=0 = 33/2 =16.5 = 153/19 = 8.05 2-loop beta function has a zero (fixed point) if Results can be generalized to group G with rep R
IR UV
QCD (without quark masses) is a classically scale invariant theory Dimensional transmutation = 11 – (2/3)NF LQCD
Banks-Zaks fields with infrared fixed point interact with SM fields Dimensional transmutation of BZ fields The operator dimension dU can be non-integral Explicit example in SQCD with strongly coupled fixed point: 3/2 NC < NF < 3 NC for SU(NC) gauge group